NON-ASSOCIATIVE STRUCTURES FQM125

Description

The research group Non-Associative Structures, located in the Department of Algebra, Geometry and Topology of the Faculty of Science, is fundamentally dedicated to pure mathematics research; specifically in the area of non-associative algebras and in some generalizations of them. This group’s researchers have produced a large number of publications, which has accorded them an extensive research curriculum.

Research Topics

• Non-associative division algebras.
• Lie algebras.
• Lie triple systems.
• Root systems.
• Associative pairs.
• Alternative and Jordan pairs.
• Derivation algebras.
• Absolute value algebras.
• Composition algebras.
• Prehilbertain algebras.
• Finiteness conditions for modules.
• Algebraic number theory.

Scientific-Technical Services

• Advice about the research topics.
• Research training.
• Organisation of conferences and courses on non-associative structures.

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